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Finding the Fourth Proportional to 422,493.29, 633,740.40 and 106,950.20

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Solution

The fourth proportional to 422,493.29, 633,740.40 and 106,950.20 is: 160,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,493.29 : 633,740.40 = 106,950.20 : x
  2. Step 2: Convert to fraction form
    422,493.29/633,740.40 = 106,950.20/x
  3. Step 3: Cross multiply
    422,493.29x = 633,740.40 × 106,950.20
  4. Step 4: Simplify right side
    422,493.29x = 67,778,659,359.38
  5. Step 5: Solve for x
    x = 67,778,659,359.38/422,493.29
  6. Step 6: Final answer
    x = 160,425.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.